10016224400 has 360 divisors, whose sum is σ = 30355360704. Its totient is φ = 3109017600.

The previous prime is 10016224381. The next prime is 10016224417. The reversal of 10016224400 is 442261001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28865027 + ... + 28865373.

Almost surely, 2^10016224400 is an apocalyptic number.

10016224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10016224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177680352).

10016224400 is an abundant number, since it is smaller than the sum of its proper divisors (20339136304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10016224400 is a wasteful number, since it uses less digits than its factorization.

10016224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10016224400 its reverse (442261001), we get a palindrome (10458485401).

The spelling of 10016224400 in words is "ten billion, sixteen million, two hundred twenty-four thousand, four hundred".